1 Noiseless Circle

## y
##  1  2  3 
## 41 32 27

2 Noise Circle

2.1 n = 500, noise-level = 0.2

2.1.1 Ridge

## [1] 0.86666667 0.06666667 0.06666667
## y_noise
##   1   2   3 
## 147 183 170

2.1.2 Ridgeless

## Warning in unpack_problem(object, solution): Solver returned with status
## solver_error

2.2 n = 500, noise-level = 0.4

2.2.1 Ridge

## [1] 0.7333333 0.1333333 0.1333333
## y_noise
##   1   2   3 
## 155 170 175

2.2.2 Ridgeless

2.3 n = 500, noise-level = 0.6

2.3.1 Ridge

## [1] 0.6 0.2 0.2
## y_noise
##   1   2   3 
## 159 178 163

2.3.2 Ridgeless

2.4 n = 3000, noise-level = 0.6

2.4.1 Ridge

## [1] 0.6 0.2 0.2
## y_noise
##    1    2    3 
## 1040  994  966

## [1] "CS"
## [[1]]
##             [,1]       [,2]         [,3]
## [1,]  0.58914859  0.4241659 -0.043444431
## [2,] -0.65116843  0.2196899  0.001566624
## [3,]  0.06201984 -0.6438558  0.041877808
## 
## [[2]]
##             [,1]       [,2]         [,3]
## [1,]  0.58333080  0.4240497 -0.041119151
## [2,] -0.64585855  0.2194309  0.001517168
## [3,]  0.06252775 -0.6434807  0.039601983
## 
## [[3]]
##            [,1]       [,2]        [,3]
## [1,]  0.2645581  0.2140293 -0.02312916
## [2,] -0.2948651  0.1178043 -0.01715106
## [3,]  0.0303070 -0.3318336  0.04028022
## 
## [[4]]
##              [,1]        [,2]         [,3]
## [1,]  0.026446483  0.02139109 -0.002314841
## [2,] -0.029474385  0.01177616 -0.001713037
## [3,]  0.003027902 -0.03316725  0.004027878
## 
## [[5]]
##               [,1]         [,2]          [,3]
## [1,]  0.0026765758  0.002165720 -0.0002346736
## [2,] -0.0029822588  0.001189869 -0.0001734057
## [3,]  0.0003056831 -0.003355588  0.0004080793
## [1] "Duchi"
## [[1]]
##             [,1]       [,2]         [,3]
## [1,]  0.44744698  0.3256412  0.028808120
## [2,] -0.48220727  0.1100523 -0.004626457
## [3,]  0.03476029 -0.4356935 -0.024181663
## 
## [[2]]
##             [,1]       [,2]         [,3]
## [1,]  0.44245985  0.3204851  0.028085999
## [2,] -0.47743939  0.1080012 -0.001368866
## [3,]  0.03497954 -0.4284862 -0.026717132
## 
## [[3]]
##             [,1]       [,2]        [,3]
## [1,]  0.40550040  0.2824352  0.03314589
## [2,] -0.43910185  0.1013177  0.00116399
## [3,]  0.03360145 -0.3837529 -0.03430988
## 
## [[4]]
##             [,1]        [,2]        [,3]
## [1,]  0.28099599  0.19494307  0.09468278
## [2,] -0.30441733  0.06935668 -0.02357406
## [3,]  0.02342134 -0.26429975 -0.07110872
## 
## [[5]]
##              [,1]         [,2]       [,3]
## [1,]  0.028186648  0.019549438  0.6081000
## [2,] -0.030702005  0.007265754 -0.3016082
## [3,]  0.002515356 -0.026815192 -0.3064918
## [1] "New1"
## [[1]]
##            [,1]      [,2]      [,3]
## [1,]  0.5954503 0.3565457 0.3080048
## [2,] -0.6500760 0.1416522 0.3356345
## 
## [[2]]
##            [,1]      [,2]      [,3]
## [1,]  0.5937573 0.3563245 0.3091862
## [2,] -0.6480287 0.1385268 0.3382194
## 
## [[3]]
##            [,1]      [,2]      [,3]
## [1,]  0.5755802 0.3200956 0.3415422
## [2,] -0.6301423 0.1196139 0.3586036
## 
## [[4]]
##            [,1]      [,2]      [,3]
## [1,]  0.2022975 0.2761721 0.3284816
## [2,] -0.2420224 0.1611480 0.2694147
## 
## [[5]]
##             [,1]       [,2]       [,3]
## [1,]  0.02584731 0.04598890 0.87660393
## [2,] -0.03389683 0.03131232 0.04633477

2.4.2 Ridgeless

## Warning in unpack_problem(object, solution): Solver returned with status
## solver_error

2.5 n = 3000, noise-level = 0.8

2.5.1 Ridge

## [1] 0.4666667 0.2666667 0.2666667
## y_noise
##    1    2    3 
##  973 1030  997
## Warning in unpack_problem(object, solution): Solver returned with status
## solver_error

2.5.2 Ridgeless

## Warning in unpack_problem(object, solution): Solver returned with status
## solver_error